In onedimensional bar elements, there is only one rigid body motion test ( \(x\) translation) and one constant strain test ( \(\varepsilon_{x x}=\) constant). Consider a patch of two bar elements shown in the figure with \(E=10 \mathrm{GPa}, A=10^{-6} \mathrm{~m}^{2}\). Check if the element passes the two patch tests using the following shape functions for element (i):

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0.5 m N(x)=1+1-x x+1-7 N2(x)= +1- (2) 1.0 m 3 X